Question

Please solve this it's urgent
Need the answer now only plzzz

Answer 1

【 Let's give each angle a name i.e. refer the attachment 】

Note - We have created 2 more angles which are ∠y and ∠z

∴ 70° + ∠y = 180° 【∵Linear Pair】

⇒ ∠y = 180° - 70°

⇒ ∠y = 110°

∴ ∠z + 60° = 180° 【∵Linear Pair】

⇒ ∠z = 180° - 60°

⇒ ∠z = 120°

Note - "n" refers number of sides

∴ Sum of all ∠s = 180°(n - 2)

⇒∠A+∠B+∠C+∠D+∠E = 180°(n - 2)

⇒ ∠y + ∠z + x + 30° + x = 180°(5 - 2)

⇒ 110° + 120° + x + 30° + x = 180°(3)

⇒ 260° + 2x = 540°

⇒ 2x = 540° - 260°

⇒ 2x = 280°

⇒ x = 280° / 2

⇒ x = 140°

Hence,

∠E = x = 140°

∠C = x = 140°

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